Extracting new solitary wave solutions of Benny-Luke equation and Phi-4 equation of fractional order by using (G'/G)-expansion method

被引：56

作者：

Khan, Umar ^{[1
]}

Ellahi, Rahmat ^{[2
]}

Khan, Rahmatullah ^{[2
]}

Mohyud-Din, Syed Tauseef ^{[3
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Abbottabad, Pakistan

[2] Int Islamic Univ, Fac Basic & Appl Sci, Dept Math & Stat, Islamabad 44000, Pakistan

[3] Univ Islamabad, Islamabad, Pakistan

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2017年 / 49卷 / 11期

关键词：

(G'/G)-expansion method; New solitary wave solutions; Modified Riemann-Liouville derivative; Fractional complex transformation; Fractional Benny-Luke equation; Fractional Phi-4 equation; PARTIAL-DIFFERENTIAL-EQUATIONS; (G'/G)-EXPANSION METHOD; MATHEMATICAL PHYSICS; COMPLEX TRANSFORM; EXPANSION; CALCULUS; KDV;

D O I：

10.1007/s11082-017-1191-4

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this work, we have extracted new solitary wave solutions of fractional order version of two nonlinear evolution equations known as Benny-Luke equation and Phi-4 equation arising in mathematical physics and engineering, by applying (G'/G)-expansion method with the aid of fractional complex transformation, coupled with modified Riemann-Liouville fractional operator. The exact solutions including hyperbolic, trigonometric and rational function solutions, supported by their graphical illustration for different values of the fractional orders alpha, beta and physically linked parameters, show the effectiveness and competence of the proposed mathematical tool.

引用

页数：14

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